What is the Greatest Common Factor of 35814 and 35829?

Greatest common factor (GCF) of 35814 and 35829 is 3.

GCF(35814,35829) = 3

We will now calculate the prime factors of 35814 and 35829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35814 and 35829.

How to find the GCF of 35814 and 35829?

We will first find the prime factorization of 35814 and 35829. After we will calculate the factors of 35814 and 35829 and find the biggest common factor number .

Step-1: Prime Factorization of 35814

Prime factors of 35814 are 2, 3, 47, 127. Prime factorization of 35814 in exponential form is:

35814 = 2¹ × 3¹ × 47¹ × 127¹

Step-2: Prime Factorization of 35829

Prime factors of 35829 are 3, 1327. Prime factorization of 35829 in exponential form is:

35829 = 3³ × 1327¹

Step-3: Factors of 35814

List of positive integer factors of 35814 that divides 35814 without a remainder.

1, 2, 3, 6, 47, 94, 127, 141, 254, 282, 381, 762, 5969, 11938, 17907

Step-4: Factors of 35829

List of positive integer factors of 35829 that divides 35814 without a remainder.

1, 3, 9, 27, 1327, 3981, 11943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35814 and 35829. The biggest common factor number is the GCF number.
So the greatest common factor 35814 and 35829 is 3.

Also check out the Least Common Multiple of 35814 and 35829